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Finding the Fourth Proportional to 1,881.54, 2,818.49 and 1,140.71

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Solution

The fourth proportional to 1,881.54, 2,818.49 and 1,140.71 is: 1,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.54 : 2,818.49 = 1,140.71 : x
  2. Step 2: Convert to fraction form
    1,881.54/2,818.49 = 1,140.71/x
  3. Step 3: Cross multiply
    1,881.54x = 2,818.49 × 1,140.71
  4. Step 4: Simplify right side
    1,881.54x = 3,215,059.93
  5. Step 5: Solve for x
    x = 3,215,059.93/1,881.54
  6. Step 6: Final answer
    x = 1,708.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.